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 2018-12-27, 07:47 #1 miroslavkures   Sep 2018 1102 Posts 2019 Coding Challenge The number 2019 is the least number having six different representations as a sum of three squares of prime numbers. 2019 = 23^2+23^2+31^2 2019 = 17^2+19^2+37^2 2019 = 11^2+23^2+37^2 2019 = 13^2+13^2+41^2 2019 = 7^2+17^2+41^2 2019 = 7^2+11^2+43^2 The coding challenge: Find other numbers with this property. That is, having six different representations as above, not seven or more. Say, up to 10^9. Happy New Year.
 2018-12-27, 08:28 #2 axn     Jun 2003 24·5·59 Posts There are a lot of them. Code: 2091 2499 3099 3219 3339 3579 3939 4011 4131 4179 4611 ... There are 10744 under 10^8.
 2018-12-27, 08:59 #3 miroslavkures   Sep 2018 1102 Posts Wow, you were very fast. And the result is a little surprising to me. But it is sometimes the case.

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